Name ______

Exam #1

Physics I

Spring 2006

If you would like to get credit for having taken this exam, we need your name (printed clearly) at the top and section number below.
Your name should be at the top of every page.

Section #

Questions / Value / Score
Part A / 32
B-1 / 20
B-2 / 24
C-1 / 24
Total / 100

_____ 1 M/R 8-10 (Bedrosian)

_____ 2 M/R 10-12 (Hayes)

_____ 3 M/R 10-12 (Eah)

_____ 4 M/R 12-2 (Bedrosian)

_____ 5 M/R 2-4 (Hayes)

_____ 7 M/R 4-6 (Hayes)

_____ 9 T/F 10-12 (Wilke)

_____ 10 T/F 10-12 (Washington)

_____ 11 T/F 12-2 (Yamaguchi)

_____ 12 T/F 2-4 (Wetzel)

_____ 14 M/R 12-2 (Eah)

_____ 15 T/F 12-2 (Wilke)

You may not unstaple this exam.

Only work written on the same page as the question will be graded.

Cheating on this exam will result in an F in the course.


On this exam, please neglect any relativistic and/or quantum mechanical effects. If you don’t know what those are, don’t worry, we are neglecting them! On all multiple-choice questions, choose the best answer in the context of what we have learned in Physics I.
On graphing and numerical questions, show all work to receive credit.

Part A – Multiple Choice – 32 Points Total (8 at 4 Points Each)

Write your choice on the line to the left of the question number.

______1. An object is thrown vertically upward into the air. Which of the following five graphs represents the velocity (v) of the object as a function of the time (t)? Neglect air resistance and take the positive direction as up.

______2. The system shown below consists of a cart on a track with weight = 6 N, a string, a pulley, and a hanging weight of 3 N. The hanging weight and cart are free to accelerate. Assume friction and the masses of the string and pulley are all zero.
What is the magnitude of the acceleration of the cart if g is the free-fall acceleration?

A)  g / 6.

B)  g / 4.

C)  g / 3.

D)  g / 2.

E)  g.

______3. In the system in Question 2 above, what is the tension in the string?

A)  1.5 N.

B)  2 N.

C)  3 N.

D)  4 N.

E)  4.5 N.

______4. A cannon fires a cannon ball that explodes into two pieces in mid-air. The system in this question is the cannon ball (or its pieces) after being fired but before the pieces hit the ground. Neglecting air resistance, the momentum of the system is

A)  conserved in the horizontal direction only.

B)  conserved in the vertical direction only.

C)  conserved in both the horizontal and vertical directions.

D)  not conserved in either direction.


Questions 5-8 refer to the graphs shown below. Two objects, A and B, moving in one dimension are subjected to different non-constant net forces, Fa and Fb respectively. The graphs below show the velocity of each object, va and vb respectively, from t = 0 to t = 6 seconds.
To answer questions 6-9, pick one correct answer for each question from these choices:

A)  Object A.

B)  Object B.

C)  The quantities are equal for both objects.

D)  Not enough information was given to decide.

______5. Which object had the greatest total displacement from t = 0 to t = 6 seconds?

______6. Which object had the greatest magnitude of acceleration at any time from t = 0 to t = 6 seconds?

______7. Which object had the greatest magnitude of force acting on it at any time from t = 0 to t = 6 seconds?

______8. Which object had the greatest magnitude of total impulse acting on it over the time interval plotted?


B-1 – Graphing – 20 Points

An object of unknown mass moves in one dimension subjected to the net force shown in the graph below from t = 0 to t = 8 seconds. The object begins at rest. Graph the momentum of the object as a function of time from t = 0 to t = 8 seconds.

Make sure your plots clearly show:
A. Any minimum or maximum points.
B. Whether the graph is curved or straight.
C. The values of momentum at t = 0, 2, 4, 6, and 8 seconds.

Note: You may not assume an arbitrary value for the object’s mass to do this problem.


B-2 – Graphing – 24 Points

A circus performer swinging on a rope lets go at the bottom of the arc. Just before he lets go, he is moving at 9.8 m/s horizontally and 0.0 m/s vertically. He is 19.6 m vertical distance above the surface of a tank of water, which has been placed a horizontal distance d meters ahead of where he lets go of the rope. The distance d was adjusted so that the performer falls into the center of the tank of water.

Use g = 9.8 m/s2 and neglect air resistance.

You can use this page for scratch work. We will not grade this page.
See the next page for the graphs that you will be drawing.


B-2 – Graphing – 24 Points (Continued)

Plot the velocity and displacement of the circus performer from t = 0 (the starting time) to t = 2 seconds. Assume the initial location of the performer is (0.0, 19.6) m. To save space, please plot Vx and Vy on the same graph.

Make sure your plots clearly show:
A. Which curve is Vx and which is Vy
B. Whether the graphs are curved or straight.
C. The values of Vx, Vy, X, and Y at t = 0, 1, and 2 seconds.


Problem C-1 (24 Points)

A hockey puck (#1) sliding on frictionless at 10.00 m/s in the +X direction collides with a second puck (#2) with the same mass initially at rest. After the collision, puck #1 is moving at 9.24 m/s in a direction 22.5° counter-clockwise from its original direction.

What is the velocity of puck #2 after the collision?

Vx of Puck #2 = ______m/s

Vy of Puck #2 = ______m/s


Formula Sheet for Homework and Exams – Page 1 of 2

1

Name ______

1.

2.

3.

4.

5.

6.

7.

8.

9.

10.

11.

12.

13.

14.

15.

16.

17.

18.

19.

20.

21.

22.

23.

24.

25.

26.

27.

28.

29.

30.

31.

32.

33.

34.

35a.

35b.

36.

37.

38.

39.

40.

41.

42.

43.

1

Name ______

44x.

44y.

44z.

45a. 45b.

1

Name ______

Formula Sheet for Homework and Exams – Page 2 of 2

1

Name ______

46a.

46b.

47a.

47b.

48a.

48b.

49.

50.

51.

52.

53x.

53y.

54.

55.

1

Name______

Useful Constants

(You can use the approximate values on tests.)

Universal Gravitation Constant

Electrostatic Force Constant

Magnetic Constant

Speed of Light in Vacuum

Charge of a Proton

Electron-Volt Conversion Constant

Mass of a Proton

Mass of an Electron

17